<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Water is a key factor that controls the evolution of the ecosystem and restricts social and economic development. The rational allocation of water resources is the basis for the basin's sustainable use of water resources. The article uses fractional differential equations to discuss the increasingly prominent contradictions between supply and demand of agricultural water resources, serious pollution and overexploitation, the decline in groundwater level and water quality, low agricultural water efficiency, and serious waste from the perspective of sustainable development. Second, the article classifies the index system of the water resources carrying capacity evaluation model. Finally, model the resource balance of water supply and water demand in the irrigation area. The study found that the water quantity analysis and determination of the irrigation area will have important guiding significance for implementing the irrigation area's continued construction and water-saving transformation. The allocation and utilization of water resources in farmland irrigation areas will tend to be rationalized. This will greatly improve the water-saving efficiency of irrigation districts.</p>
</abstract>

Water is a key factor that controls the evolution of the ecosystem and restricts social and economic development. The rational allocation of water resources is the basis for the basin's sustainable use of water resources. The article uses fractional differential equations to discuss the increasingly prominent contradictions between supply and demand of agricultural water resources, serious pollution and overexploitation, the decline in groundwater level and water quality, low agricultural water efficiency, and serious waste from the perspective of sustainable development. Second, the article classifies the index system of the water resources carrying capacity evaluation model. Finally, model the resource balance of water supply and water demand in the irrigation area. The study found that the water quantity analysis and determination of the irrigation area will have important guiding significance for implementing the irrigation area's continued construction and water-saving transformation. The allocation and utilization of water resources in farmland irrigation areas will tend to be rationalized. This will greatly improve the water-saving efficiency of irrigation districts.

Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations

School of Chemical and Environmental Engineering

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Water is a key factor that controls the evolution of the ecosystem and restricts social and economic development. The rational allocation of water resources is...

Classification	Water demand/10,000 m³			Water supply volume/10,000 m³	Remaining water shortage/10,000 m³
Classification	Rural people and animals	Agricultural irrigation	Total	Water supply volume/10,000 m³	Remaining water shortage/10,000 m³

Surface water		8596	8595	8589	−6.4
Groundwater	0.32	267.37	267.69	267.69	0
Total	0.32	8863.1	8863.1	8856.73	−6.4

Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations

Published Online: Dec 30, 2021

Page range: 371 - 378

Received: Jun 17, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00156

Keywords
fractional differential equation, available water, water demand, agricultural water use, water resources balance

© 2021 Yanfen Li, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Water resources balance analysis results for the planning level year (2020) of farmland irrigation districts

Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations

Published Online: Dec 30, 2021

Page range: 371 - 378

Received: Jun 17, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00156

Keywordsfractional differential equation, available water, water demand, agricultural water use, water resources balance

© 2021 Yanfen Li, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Water resources balance analysis results for the planning level year (2020) of farmland irrigation districts

Keywords
fractional differential equation, available water, water demand, agricultural water use, water resources balance